129920544 has 192 divisors, whose sum is σ = 419126400. Its totient is φ = 38900736.

The previous prime is 129920521. The next prime is 129920563. The reversal of 129920544 is 445029921.

129920544 is a `hidden beast` number, since 1 + 2 + 99 + 20 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129920499 and 129920508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482842 + ... + 483110.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 2^129920544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129920544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

129920544 is an abundant number, since it is smaller than the sum of its proper divisors (289205856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129920544 is a wasteful number, since it uses less digits than its factorization.

129920544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 129920544 is about 11398.2693423168. The cubic root of 129920544 is about 506.4764737049.

The spelling of 129920544 in words is "one hundred twenty-nine million, nine hundred twenty thousand, five hundred forty-four".